Ferreira, JorgePereira, Ducival C.Santos, Mauro de Lima2021-01-082021-01-082003-08-14Ferreira, J., Pereira, D. C., & Santos, M. L. (2003). Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions. <i>Electronic Journal of Differential Equations, 2003</i>(85), pp. 1-17.1072-6691https://hdl.handle.net/10877/13093We consider a coupled system of two nonlinear wave equations of Kirchhoff type with nonlocal boundary condition and we study the asymptotic behavior of the corresponding solutions. We prove that the energy decay at the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decay exponentially and polynomially when the relaxation functions decay polynomially.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalCoupled systemWave equationGalerkin methodAsymptotic behaviorBoundary value problemArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.